We provide an explicit construction of 1/4 BPS states in four-dimensio
nal N = 4 super-Yang-Mills theory with a gauge group SU(3). These stat
es correspond to three-pronged strings connecting three D3-branes. We
also find curves of marginal stability in the moduli space of the theo
ry, at which the above states can decay into two 1/2 BPS states. (C) 1
998 Elsevier Science B.V.